
Here, \(\theta _r\)  denotes the probability that the reference packet gets decoded in the current decoding iteration starting from degree \(r\)  using only intra-RE SIC, and \(\binom{c-1}{r-1} q_i^{r-1} (1 - q_i)^{c-r}\)  denotes the probability that the collision factor of the RE node reduces from \(c\)  to \(r\)  using only inter-RE SIC [1]}.
Substituting for \(p_i^{(c)} \)  from (REF ), we obtain \(p_i\)  as a function of \(q_i\) :
\(p_i &= 1 - \sum _{c=1}^\infty \sum _{r=1}^c \xi _c \theta _r \binom{c-1}{r-1} q_i^{r-1} (1 - q_i)^{c-r}. \) 
